Answer:
14 h. 30min - 15h. 30
Step-by-step explanation:
Becuase the time varies by 15 minutes each, just find the difference after adding and subtracting and then add the nap and sleep time.
The possible time lengths for the child's total nap and nighttime sleep will be 14.5 hours and 15.5 hours.
What is the maximum and minimum value of the number?The first number mentioned is the least because it is the smallest, and the final number listed is the greatest because it is the biggest.
A specific little child has a typical rest of around two hours and rest for 13 hours around evening time. rest time and evening rest can each differ by around 15 minutes.
The minimum amount of the time is calculated as,
⇒ 2 - (15/60) + 13 - (15/60)
⇒ 15 - 0.5
⇒ 14.5 hours
The maximum amount of the time is calculated as,
⇒ 2 + (15/60) + 13 + (15/60)
⇒ 15 + 0.5
⇒ 15.5 hours
The possible time lengths for the child's total nap and nighttime sleep will be 14.5 hours and 15.5 hours.
More about the maximum and minimum link is given below.
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2part question
A.predict
B what sample size
Show work
Answer:
a. 84 students
b. 12
Step-by-step explanation:
a.
From the information given, we see that 7 out of 12 practice every day. Now we want to know how many (let it equal x) would we expect to practice everyday given there are total 144 martial artists?
we set up a ratio and cross multiply and solve for x:
[tex]\frac{7}{12}=\frac{x}{144}\\7*144=12*x\\1008=12x\\x=\frac{1008}{12}=84[/tex]
So 84 students practice everyday
b.
The sample size is a "proportion" of the whole population. Here, there are a total of 144 martial artists. And we took 12 of them to figure out how many practice everyday (from these 12). So , clearly, the sample size is 12
evalute h^-2 g h=3 g=27
Applying the definition of negative exponents, we have
[tex]3^{-2}\cdot 27 = \dfrac{1}{3^2}\cdot 27 = \dfrac{27}{9} = 3[/tex]
assume that the lines that appear to be tangent are tangent p is the center if each circle find x.
Answer:
Step-by-step explanation:
Problem One
All quadrilaterals have angles that add up to 360 degrees.
Tangents touch the circle in such a way that the radius and the tangent form a right angle at the point of contact.
Solution
x + 115 + 90 + 90 = 360
x + 295 = 360
x + 295 - 295 = 360 - 295
x = 65
Problem Two
From the previous problem, you know that where the 6 and 8 meet is a right angle.
Therefore you can use a^2 + b^2 = c^2
a = 6
b =8
c = ?
6^2 + 8^2 = c^2
c^2 = 36 + 64
c^2 = 100
sqrt(c^2) = sqrt(100)
c = 10
x = 10
Problem 3
No guarantees on this one. I'm not sure how the diagram is set up. I take the 4 to be the length from the bottom of the line marked 10 to the intersect point of the tangent with the circle.
That means that the measurement left is 10 - 4 = 6
x and 6 are both tangents from the upper point of the line marked 10.
Therefore x = 6
coby analyzes a data set and finds that r = 0.88. what is the coefficient of determination for his data set?
Answer:
[tex]R^{2}=0.7744[/tex]
Step-by-step explanation:
r represents the correlation coefficient between two sets of data. It is a measure of the degree of association between the two sets of data and gives insight into the strength and direction of the relationship.
On the other hand, [tex]R^{2}[/tex] is the coefficient of determination for a given data set. It is a measure of the predictive power of a linear model.
Given r, [tex]R^{2}[/tex] is simply the square of r;
in this case we are given, r = 0.88. Therefore, [tex]R^{2}=0.88^{2}\\\\R^{2}=0.7744[/tex]
(-2/7) (5/-8) please solve
Answer:
-15
Step-by-step explanation:
(-2/7) = 5
(5/-8) = -3
5 x -3 = -15
Answer:
0.17 or 5/28
Explanation:
(-2/7)=-0.28
(5/-8)=-0.62
(-0.28)(5/-8)=0.17
What is the probability of a face card given that the card is black?
Answer:
P(face | Black) = 3/13
Step-by-step explanation:
total number of cards in standard deck of cards = 52
Total number of face cards = 12
Then P(face cards) = 12/52
Total number of black cards = 26
Then P(black cards) = 26/52
Total number of cards that are both black and face cards = 6
Then P(black and face cards) = 6/52
Then conditional probability of getting face card given that the card is black is given by:
P(face | Black) = P( face & Black) / P(Black)
P(face | Black) = (6/52) / (26/52)
P(face | Black) = 6/26
P(face | Black) = 3/13
Answer:
The probability of a face card given that the card is black = 3/26
Step-by-step explanation:
Points to remember
There are total 52 cards. It is divided into 4 suites, 13 each.
Spades, Clubs, Hearts and Diamonds
Spades and Clubs are black.
Hearts and Diamonds are red
In each suites there are 3 face cards.
To find the probability
There are total 52 cards. And 6 black face cards
The probability of a face card given that the card is black =6/52
= 3/26
an equation that equals 19 x
Answer:
361x ÷ 19 = 19x
Answer:
18/x = 19
18=19x
Step-by-step explanation:
I neeeeeeeeeddddd helpppppppp
5/8 paper chains used more than 2 containers but less than 2 3/4 containers of glitter.
Diep bought a baguette loaf of bread 65 centimeters long. For lunch every afternoon, he cuts 15 centimeters of bread for his
sandwich. Diep wants to determine the length of the loaf of bread, 1, after d days. What is the equation of the scenario? Is
the graph of the equation continuous or discrete?
165 - 15d, discrete
165 - 15d, continuous
65 = 1 - 15d, discrete
65 = 1 - 15d, continuous
Answer:
l = 65 – 15d; discrete
Step-by-step explanation:
15 is the centimeters he cuts off every day, you have to multiply that by D that´s the nomber of days, in order to calculate how much baguette does he have left.
If 4 days have passed, the anser would be 5 centimeters:
I=65- 15(4)= 65-60= 5
Answer:
[tex]l=65-15d[/tex]; discrete.
Step-by-step explanation:
Let d represent number of days.
We have been given that for lunch every afternoon, Diep cuts 15 centimeters of bread for his sandwich. The length of loaf cut in d days would be [tex]15d[/tex].
Diep bought a baguette loaf of bread 65 centimeters long. The length of loaf of bread after d days would be initial length minus amount of loaf cut in d days that is:
[tex]65-15d[/tex]
Since [tex]l[/tex] represents length of bread, so our equation would be: [tex]l=65-15d[/tex]
Therefore, the expression [tex]l=65-15d[/tex] represents the given scenario.
The variable d represents number of days and days cannot be fractional. We can take only whole number of days, therefore, the graph of the equation would be discrete.
Need Help PLZ!!!!!!!!!
Answer:
t = 0.93 years
Step-by-step explanation:
Simple interest: I = prt
Given:
Interest(I)= $900, Investment(p) = $21,000, Rate(r) = 4.6% = 0.046
900 = 21000 × 0.046 × t
900 = 966 × t
[tex]\frac{900}{966}[/tex] = t
t = 0.93 years
How much money should be invested every year with 4% interest per year in order to save up $26,000 in 18 years?
Answer:
$15116.28
Step-by-step explanation:
Given data:
interest rate, r= 4%
time, t= 18 years
Final investment, A= $26000
Principle investment, P=?
As per the formula of interest
A= P (1+rt)
Putting the values:
26000= P(1+ 0.04(18))
P= 26000/(1+ 0.04(18))
P= 15116.28 !
for which value of 0 is sin 0 = -1
Answer:
[tex]\frac32 \pi[/tex]
Step-by-step explanation:
If you realize that the sin is actually the y coordinate of a (unit) circle when you travel around it, you will know that it is -1 when you are 3 quarters round, assuming you started at (1,0).
The circumference is measured in radians, where one round is 2π.
So 3/4 of 2π is 3/2 π.
In degrees, the answer is 3/4 of 360°, which is 270°.
Answer:
C
Step-by-step explanation:
Two numbers total 76 and have a difference of 18. Find the two numbers
Answer:
20 and 56
Step-by-step explanation:
76/2 = 38
38 - 18 = 20
38 + 18 = 56
20 + 56 = 76
The figure below shows one of the paving stones in Jack's garden.
30 in.
18 in.
70 in.
(not drawn to scale]
What is the area of the paving stone?
B. 900 inches squared
Work is shown in IMG
Refer to matrix B and identify the matrix element b23
A. -5
B. 0
C. 9
D. 8
Answer:
C. 9
Step-by-step explanation:
Matrix is an arranged array of rows and columns. The number of rows are represented by m and number of columns by n. Hence the elements of matrix is denoted by small letter with it's row number and column number in subscript.
Like elements belonging to A matrix will be written as:
[tex]a_{mn}[/tex]
In the given matrix, we have to tell the element b_23 which means we have to point out the element in row 2 and column 3.
Looking at the matric we can see that the number at the position of 2nd row and third column is 9.
Hence Option C is the correct answer ..
Question 12
Find the volume of the sphere in terms of .
Help plz
7776pi since the volume of a sphere can be found by V=4/3pi(r)^3
V=4/3pi(18)^3
V=7776pi
Answer:
[tex]\large\boxed{972\pi\ cm^3}[/tex]
Step-by-step explanation:
[tex]\text{The formula of a volume of a sphere:}\\\\V=\dfrac{4}{3}\pi R^3\\\\R-radius\\\\\text{We have the diameter of the sphere.}\ D=18cm.\\\\D=2R\to R=\dfrac{18}{2}\ cm=9cm.\\\\\text{Substitute:}\\\\V=\dfrac{4}{3}\pi(9^3)=\dfrac{4}{3}\pi(729)=(4)\pi(243)=972\pi\ cm^3[/tex]
Tia’s tent is in the form of a triangular prism as shown below if Tia plans to waterproof the tent excluding the pace what is the area in which she will waterproof
To calculate the area Tia needs to waterproof, find the perimeter of the triangular base and multiply it by the height of the prism.
Explanation:To find the area Tia will waterproof, we need to calculate the lateral surface area of the triangular prism. The lateral surface area is given by the formula:
Lateral Surface Area = Perimeter of Base × Height
First, find the perimeter of the triangular base by adding up the lengths of all three sides. Then, multiply this perimeter by the height of the prism. This will give you the area Tia needs to waterproof.
Learn more about Finding the area of a triangular prism here:https://brainly.com/question/32003536
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To determine the area Tia needs to waterproof for her triangular prism tent with base dimensions 14 ft, 8 ft, and side lengths 8 ft, the total area is calculated as the sum of the areas of the two triangular bases.
To find the area that Tia needs to waterproof, we can calculate the surface area of the triangular prism. The formula for the surface area of a triangular prism is given by:
A = 2B + Ph
where:
- B is the area of the triangular base,
- P is the perimeter of the base, and
- h is the height of the prism.
First, calculate the area of one triangular base (either base 1 or base 2). The area B of a triangle is given by:
[tex]\[ B = \frac{1}{2} \times \text{base} \times \text{height} \][/tex]
For base 1:
[tex]\[ B_1 = \frac{1}{2} \times 14 \times 8 = 56 \, \text{ft}^2 \][/tex]
Now, find the perimeter P of the base, which is the sum of the three sides:
[tex]\[ P = \text{side}_1 + \text{side}_2 + \text{side}_3 \][/tex]
[tex]\[ P_1 = 8 + 8 + 14 = 30 \, \text{ft} \][/tex]
Now, substitute these values into the formula for the surface area:
[tex]\[ A_1 = 2 \times 56 + 30 \times h \][/tex]
Similarly, calculate the area [tex]\( A_2 \)[/tex] for base 2.
Tia needs to waterproof both bases, so the total area to be waterproofed is [tex]\( A_1 + A_2 \).[/tex]
sin 40 = x/12
what is the value of x?
The value of x in the equation sin 40 = x/12 is found by multiplying both sides by 12 and then by the sine of 40 degrees, resulting in x being approximately 7.7136.
To find the value of x in the equation sin 40 = x/12, we need to isolate x on one side of the equation. To do this, we multiply both sides of the equation by 12 to get x on its own. So, the steps are as follows:
Multiply both sides of the equation by 12 to eliminate the denominator on the right side, which gives us 12 * sin 40 = x.
Calculate sin 40 using a calculator.
Finally, multiply the value of sin 40 by 12 to find the value of x.
Carrying out these steps:
sin 40 approximately equals 0.6428 (rounded to four decimal places).
Then we calculate 12 * 0.6428 = 7.7136 (rounded to four decimal places).
Therefore, the value of x is approximately 7.7136.
WHAT'S Z? PLEASE HELP, URGENT!
Answer:
[tex]\large\boxed{z=\dfrac{15\sqrt3}{2}}[/tex]
Step-by-step explanation:
We have the right triangle 30° - 60° - 90°. The sides are in ratio
1 : √3 : 2. Look at the picture.
[tex]15=2x\to2x=15[/tex] divide both sides by 2
[tex]\dfrac{2x}{2}=\dfrac{15}{2}\\\\x=\dfrac{15}{2}[/tex]
[tex]z=x\sqrt3\to z=\dfrac{15}{2}\sqrt3=\dfrac{15\sqrt3}{2}[/tex]
PLEASE HELP WILL GIVE BRAINLIEST
a boat would like to cross the river using the most direct route because of the current the boat must aim upriver as shown in the diagram to the nearest degree what is the angle the boat should head Upstream
19 degrees south of west
71 degrees south of west
19 degrees north of west
71 degrees north of west
The answer is:
According to the picture, the angle that the boat should head upstream is 19° north of west.
Why?From the figure, we can see that there is a right triangle formed, and since we know its hypothenuse and its opposite side, we can use the following trigonometric relation:
[tex]Sin(\alpha)=\frac{opposite}{hypothenuse}[/tex]
We are given that:
[tex]opposite=6\\hypothenuse=18[/tex]
So, substituting and calculating, we have:
[tex]Sin(\alpha)=\frac{6}{18}[/tex]
[tex]Arcosin(Sin(\alpha))=Arcsin(\frac{6}{18})\\\\\alpha =19.47\°[/tex]
Therefore the angle that the boat should head upstream is 19°, but since speeds and direction and involved, we need to look for the direction, we can see that the vertical speed is due to north, and the horizontal speed is due to west, knowing that, we can conclude that the resultant speed will be due to north of west.
Hence, according to the picture, the angle that the boat should head upstream is 19° north of west.
Have a nice day!
what does to plu to equal
Answer:
1: It's I think 2+2
2: If I got your accent right then it's 4
3: count 2 and 2 makes 4
4: YAYYY YOU GOT IT PRACTICE MORE
Step-by-step explanation:
PLZZZZ MARK BRAINLIST!! REALLY FUNNY QUESTION AND MADE MY DAY!!!
PLEASE HELP!!!!!!!
Use an equation to find the value of each indicated variable.
Answer:
y=36°
z=54°
Step-by-step explanation:
3y+2y -> 5y=180 y=36
90-36= 54
4. Solve the word problem using the interest table
and the Annual Payroll Period table.
Connie invested $3,250 in a regular savings account that
paid compound interest at a rate of 7.5% per year,
compounded monthly. How much was her investment worth
in five years?
$4,723.21
$14,625
$243.75
$1,218.75
$4,468.75
Solve the word problem using the interest table
Answer:
1218.75
Step-by-step explanation:
7.5 x 5 = 37.5
37.5 x 3250 = 121875
121875 ÷ 100 = 1218.75
A triangle has a base of 3 yards and a height of 7 yards. Which is the area of the triangle?
Answer:
A= 10.5
Step-by-step explanation:
Answer:10.5 yards
Step-by-step explanation:3 x 7 / 2
HELP PLEASE !!!! again math
Answer:
Step-by-step explanation:
A(1,4), B(4, -2), C(-1, 2)
In the first transformation, we multiply each x coordinate by -2, and each y coordinate by 1/2.
A(1*-2, 4/2) = A(-2, 2)
B(4*-2, -2/2) = B(-8, -1)
C(-1*-2, 2/2) = C(2, 1)
In the second transformation, we take each new x coordinate and subtract 2, and each new y coordinate and add 3:
A(-2-2, 2+3) = A(-4, 5)
B(-8-2, -1+3) = B(-10, 2)
C(2-2, 1+3) = C(0, 4)
The x-coordinate of point P is positive, and the y-coordinate of point P is negative. In which quadrant is point P?
ANSWER
Quadrant IV
EXPLANATION
The given point have the x-coordinate to be positive and the y-coordinate to be negative.
In general, the point P(x,-y) lies in the fourth quadrant.
The reason is that, this quadrant contains the positive x-axis and the negative y-axis.
See attachment for diagram.
Answer: II and IV
Step-by-step explanation:
PLEASE HELP! 30 POINTS.
A metallic paperweight in the shape of a rectangular prism measures 9 centimeters by 4 centimeters by 4 centimeters and has a mass of 1267.2 grams.
What is the density of the paperweight?
Enter your answer in the box.
Answer:
p=m/v
v=9 x 4 x 4=144cm
m=1267.2g
p=1267.2/144
p=8.8 g/cm^3
Answer:
8.8
Step-by-step explanation:
Density = Mass / Volume
Volume = 9 × 4 × 4 = 144
Mass = 1267.2
Density = 1267.2 / 144 = 8.8
A 2-digit number is increased by 36 when the digits are reversed. The sum of the digits is 10. Find the original number.
Answer:
37
Step-by-step explanation:
To start out, if you know that the digits add to 10, then the number must me around 46-37, as 28 and 82 wouldn't make sense, and 55 is a palindrome.
37-->73, 73-37=36.
Step-by-step explanation:
10y + x = 10x + y + 36
x+y = 10
so we have to find y and x
10y - y = 10x - x + 36
9y = 9x + 36
Determine whether the data distribution appears to be positively skewed, negatively skewed, or symmetric.
The table below shows the score of the Jaguar basketball team for the last ten games.
Answer:
Negatively skewed
Step-by-step explanation:
Arrange this data in ascending order:
46, 50, 57, 58, 59, 59, 65, 66, 77, 80
and draw the bar chart as shown in attached diagram.
The data distribution appears to be negatively skewed (or left skewed), because the scores fall toward the higher side of the scale and there are very few low scores. The mean is also to the left of the peak.
Answer:
Negatively skewed
Step-by-step explanation:
Arrange this data in ascending order:
46, 50, 57, 58, 59, 59, 65, 66, 77, 80
and draw the bar chart as shown in attached diagram.
The data distribution appears to be negatively skewed (or left skewed), because the scores fall toward the higher side of the scale and there are very few low scores. The mean is also to the left of the peak.
Which expression defines the arithmetic series 4+8+12+... for four terms?
The sum of the first four terms of the arithmetic series 4+8+12+... is calculated using the sum formula for arithmetic series, resulting in a sum of 40.
Explanation:The question seeks the expression for the sum of the first four terms of the arithmetic series 4+8+12+... To solve this, we utilize the formula for the sum of the first n terms of an arithmetic series, which is Sn = n/2 [2a + (n-1)d], where Sn is the sum of the first n terms, a is the first term, d is the common difference, and n is the number of terms.
For the series 4+8+12+..., the first term a = 4, the common difference d = 4, and the number of terms n = 4. Plugging these values into the formula gives us:
S4 = 4/2 [2(4) + (4-1)4] = 2 [8 + 12] = 2 × 20 = 40.
Therefore, the sum of the first four terms of the arithmetic series 4+8+12+... is 40.
This expression sums from [tex]\( (k-1)^4 \) to \( 4n \),[/tex] which doesn't represent the arithmetic series either.
None of the given expressions seem to represent the arithmetic series [tex]\(4 + 8 + 12 + ... \)[/tex] for four terms correctly.
An arithmetic series is a sequence of numbers in which the difference between any two consecutive terms is constant. In this case, the series given is:
[tex]\[ 4 + 8 + 12 + ... \][/tex]
The common difference between consecutive terms is (8 - 4 = 4).
The general formula for the sum of an arithmetic series is:
[tex]\[ S_n = \frac{n}{2}(a_1 + a_n) \][/tex]
Where:
[tex]- \( S_n \)[/tex] is the sum of the first ( n ) terms,
[tex]- \( a_1 \)[/tex]is the first term,
[tex]- \( a_n \) is the \( n \)[/tex]-th term.
To find the sum of the first four terms, we can use this formula.
Now, let's look at each option:
[tex]a. \( \sum\limits_{(a-1)^4}^{(2n+4)} \)[/tex]
[tex]b. \( \sum\limits_{(s=1)}^{4} (1+4n) \)[/tex]
[tex]c. \( \sum\limits_{(k=1)}^{4} (n+4) \)[/tex]
[tex]d. \( \sum\limits_{(k-1)^4}^{4n} \)[/tex]
We need to choose the expression that correctly represents the sum of the arithmetic series.
Using the formula for the sum of an arithmetic series, we have:
[tex]\[ a_1 = 4 \][/tex]
[tex]\[ a_n = 4 + (4 \times (n-1)) \][/tex](since the common difference is 4)
Now, let's plug these values into the formula:
[tex]\[ S_4 = \frac{4}{2}(4 + (4 + 4 \times (4-1))) \][/tex]
[tex]\[ S_4 = \frac{4}{2}(4 + 4 + 16) \][/tex]
[tex]\[ S_4 = \frac{4}{2}(24) \][/tex]
[tex]\[ S_4 = 2 \times 24 \][/tex]
[tex]\[ S_4 = 48 \][/tex]
So, the sum of the first four terms of the series is 48.
Now, let's see which expression correctly represents this sum.
a. [tex]\( \sum\limits_{(a-1)^4}^{(2n+4)} \)[/tex]
- This expression doesn't seem to represent an arithmetic series.
b. [tex]\( \sum\limits_{(s=1)}^{4} (1+4n) \)[/tex]
- This expression doesn't seem to represent an arithmetic series either.
c.[tex]\( \sum\limits_{(k=1)}^{4} (n+4) \)[/tex]
- This expression sums[tex]\( n+4 \) for \( k = 1 \) to \( k = 4 \)[/tex], but it doesn't seem to correctly represent the arithmetic series.
d. [tex]\( \sum\limits_{(k-1)^4}^{4n} \)[/tex]
- This expression sums from [tex]\( (k-1)^4 \) to \( 4n \),[/tex] which doesn't represent the arithmetic series either.
None of the given expressions seem to represent the arithmetic series [tex]\(4 + 8 + 12 + ... \)[/tex] for four terms correctly. If none of the options are correct, it's possible that there might be a typo or a mistake in the options provided.
2. Which expression defines the arithmetic series 4+8+12+.. for four terms? a.sumlimits _(a-1)^4(2n+4)
b.sumlimits _(s=1)^4(1+4n)
c.sumlimits _(k=1)^4(n+4)
d.sumlimits _(k-1)^44n